6(k-2)-6=3k-(2k-3)

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Solution for 6(k-2)-6=3k-(2k-3) equation:


Simplifying
6(k + -2) + -6 = 3k + -1(2k + -3)

Reorder the terms:
6(-2 + k) + -6 = 3k + -1(2k + -3)
(-2 * 6 + k * 6) + -6 = 3k + -1(2k + -3)
(-12 + 6k) + -6 = 3k + -1(2k + -3)

Reorder the terms:
-12 + -6 + 6k = 3k + -1(2k + -3)

Combine like terms: -12 + -6 = -18
-18 + 6k = 3k + -1(2k + -3)

Reorder the terms:
-18 + 6k = 3k + -1(-3 + 2k)
-18 + 6k = 3k + (-3 * -1 + 2k * -1)
-18 + 6k = 3k + (3 + -2k)

Reorder the terms:
-18 + 6k = 3 + 3k + -2k

Combine like terms: 3k + -2k = 1k
-18 + 6k = 3 + 1k

Solving
-18 + 6k = 3 + 1k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-1k' to each side of the equation.
-18 + 6k + -1k = 3 + 1k + -1k

Combine like terms: 6k + -1k = 5k
-18 + 5k = 3 + 1k + -1k

Combine like terms: 1k + -1k = 0
-18 + 5k = 3 + 0
-18 + 5k = 3

Add '18' to each side of the equation.
-18 + 18 + 5k = 3 + 18

Combine like terms: -18 + 18 = 0
0 + 5k = 3 + 18
5k = 3 + 18

Combine like terms: 3 + 18 = 21
5k = 21

Divide each side by '5'.
k = 4.2

Simplifying
k = 4.2

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